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Finding the Fourth Proportional to 974.67, 1,462.26 and 512.32

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Solution

The fourth proportional to 974.67, 1,462.26 and 512.32 is: 768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.67 : 1,462.26 = 512.32 : x
  2. Step 2: Convert to fraction form
    974.67/1,462.26 = 512.32/x
  3. Step 3: Cross multiply
    974.67x = 1,462.26 × 512.32
  4. Step 4: Simplify right side
    974.67x = 749,145.04
  5. Step 5: Solve for x
    x = 749,145.04/974.67
  6. Step 6: Final answer
    x = 768.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.